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Finding the Fourth Proportional to 205,631.12, 308,446.68 and 65,389.88

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Solution

The fourth proportional to 205,631.12, 308,446.68 and 65,389.88 is: 98,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,631.12 : 308,446.68 = 65,389.88 : x
  2. Step 2: Convert to fraction form
    205,631.12/308,446.68 = 65,389.88/x
  3. Step 3: Cross multiply
    205,631.12x = 308,446.68 × 65,389.88
  4. Step 4: Simplify right side
    205,631.12x = 20,169,291,391.60
  5. Step 5: Solve for x
    x = 20,169,291,391.60/205,631.12
  6. Step 6: Final answer
    x = 98,084.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.